Invoking electirc command programmatically

[PT]

I have this electric function which inserts the character it is bound to  
and does something else too.

(defun my-electric-character (&optional arg)
  "Insert the typed character and pop up a completion buffer"
  (interactive "P")
  (self-insert-command (prefix-numeric-value arg))
  ...)

How can I invoke this function from my program with a certain character,  
so that it behaves just like if the user typed the character on the  
keyboard?

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